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The following data show the cooling temperatures of a freshly brewed cup of coffee after it is poured from the brewing pot into a serving
The following data show the cooling temperatures of a freshly brewed cup of coffee after it is poured from the brewing pot into a serving cup. The brewing pot temperature is approximately 180 F.
Time (min) | 0 | 5 | 8 | 11 | 15 | 18 | 22 | 25 | 30 | 34 | 38 | 42 | 45 | 50 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Temp (F) | 185.1 | 160.1 | 167.9 | 145.2 | 142.8 | 138.3 | 126.2 | 114.5 | 118.1 | 118.5 | 112.9 | 113.8 | 94.9 | 100.5 |
The output for an exponential model ln(Temp) = 0 + 1Time + , t is below.
df | SS | MS | |
Regression | 1 | 0.45409 | 0.45409 |
Residual | 12 | 0.020 | 0.00167 |
Total | 13 | 0.46987 | |
Coefficients | Standard Error | t-stat | |
Intercept | 5.1431 | 0.0178 | 288.94 |
Time | -0.0105 | 0.0006 | -17.50 |
Which of the following is the percentage of variation in ln(Temp) explained bythe model?
Group of answer choices
A) 45.11%
B) 1.03%
C) 96.64%
D) 46.51%
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